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Chapitre D'ouvrage Année : 2019

Complementability and maximality in different contexts: ergodic theory, Brownian and poly-adic filtrations

Christophe Leuridan

Résumé

The notions of complementability and maximality were introduced in 1974 by Ornstein and Weiss in the context of the automorphisms of a probability space, in 2008 by Brossard and Leuridan in the context of the Brownian filtrations, and in 2017 by Leuridan in the context of the poly-adic filtrations indexed by the non-positive integers. We present here some striking analogies and also some differences existing between these three contexts.
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Dates et versions

hal-01560477 , version 1 (11-07-2017)
hal-01560477 , version 2 (28-08-2017)
hal-01560477 , version 3 (11-02-2018)
hal-01560477 , version 4 (20-09-2018)
hal-01560477 , version 5 (06-09-2019)

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  • HAL Id : hal-01560477 , version 5

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Christophe Leuridan. Complementability and maximality in different contexts: ergodic theory, Brownian and poly-adic filtrations. Séminaire de probabilités L, Séminaire de Probabilités L, pp.33--82, 2019, Lecture Notes in Mathematics 2252. ⟨hal-01560477v5⟩
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